Asymptotic formulas for generalized Baskakov‐Durrmeyer operators
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5884
Abstract: The paper deals with general Baskakov‐Durrmeyer operators containing several previous definitions as special cases. We construct a new sequence of BaskakovDurrmeyer operators depending on a parameter γ. We present a quantitative Voronovskaya type theorem in… read more here.
Keywords: baskakov durrmeyer; formulas generalized; asymptotic formulas; generalized baskakov ... See more keywords
Approximation Properties of the Blending-Type Bernstein-Durrmeyer Operators
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DOI: 10.3390/axioms12010005
Abstract: We construct the blending-type modified Bernstein–Durrmeyer operators and investigate their approximation properties. First, we derive the Voronovskaya-type asymptotic theorem for this type of operator. Then, the local and global approximation theorems are obtained by using… read more here.
Keywords: durrmeyer operators; type; approximation; approximation properties ... See more keywords
Genuine q-Stancu-Bernstein-Durrmeyer Operators
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DOI: 10.3390/sym15020437
Abstract: In the present paper, we introduce the genuine q-Stancu-Bernstein–Durrmeyer operators Znq,α(f;x). We calculate the moments of these operators, Znq,α(tj;x) for j=0,1,2, which follows a symmetric pattern. We also calculate the second order central moment Znq,α((t−x)2;x).… read more here.
Keywords: stancu bernstein; durrmeyer operators; genuine stancu; bernstein durrmeyer ... See more keywords